0.00/0.00 MAYBE 0.00/0.00 0.00/0.00 0.00/0.00 Succeeded in reading "/export/starexec/sandbox/benchmark/theBenchmark.trs". 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 pin(a) -> pout(b) 0.00/0.00 pin(b) -> pout(c) 0.00/0.00 tc(x) -> x 0.00/0.00 tc(x) -> y | pin(x) == pout(z), tc(z) == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-56393-8_34 [54] p. 435 with typo; fixed as Cops #391 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 No "->="-rules. 0.00/0.00 0.00/0.00 Decomposed conditions if possible. 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 pin(a) -> pout(b) 0.00/0.00 pin(b) -> pout(c) 0.00/0.00 tc(x) -> x 0.00/0.00 tc(x) -> y | pin(x) == pout(z), tc(z) == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-56393-8_34 [54] p. 435 with typo; fixed as Cops #391 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Removed infeasible rules as much as possible. 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 pin(a) -> pout(b) 0.00/0.00 pin(b) -> pout(c) 0.00/0.00 tc(x) -> x 0.00/0.00 tc(x) -> y | pin(x) == pout(z), tc(z) == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-56393-8_34 [54] p. 435 with typo; fixed as Cops #391 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Try to disprove confluence of the following (C)TRS: 0.00/0.00 (CONDITIONTYPE ORIENTED) 0.00/0.00 (VAR x y) 0.00/0.00 (RULES 0.00/0.00 pin(a) -> pout(b) 0.00/0.00 pin(b) -> pout(c) 0.00/0.00 tc(x) -> x 0.00/0.00 tc(x) -> y | pin(x) == pout(z), tc(z) == y 0.00/0.00 ) 0.00/0.00 (COMMENT doi:10.1007/3-540-56393-8_34 [54] p. 435 with typo; fixed as Cops #391 submitted by: Thomas Sternagel and Aart Middeldorp) 0.00/0.00 0.00/0.00 Failed either to apply SR and U for normal 1CTRSs to the above CTRS or to prove confluence of any converted TRSs. 0.00/0.00 0.00/0.00 Try to apply SR and U for 3DCTRSs to the above CTRS. 0.00/0.00 0.00/0.00 Succeeded in applying U for 3DCTRSs to the above CTRS. 0.00/0.00 U(R) = 0.00/0.00 (VAR x1 x2) 0.00/0.00 (RULES 0.00/0.00 pin(a) -> pout(b) 0.00/0.00 pin(b) -> pout(c) 0.00/0.00 tc(x1) -> x1 0.00/0.00 tc(x1) -> u1(pin(x1),x1) 0.00/0.00 u1(pout(z),x1) -> u2(tc(z),x1) 0.00/0.00 u2(x2,x1) -> x2 0.00/0.00 ) 0.00/0.00 0.00/0.00 U for 3DCTRSs is sound for the above CTRS. 0.00/0.00 0.00/0.00 Failed to prove confluence of U(R). 0.00/0.00 0.00/0.00 Try to prove operational termination of R, i.e., termination of U(R). 0.00/0.00 0.00/0.00 Failed to prove operational termination of R. 0.00/0.00 0.00/0.00 MAYBE 0.00/0.00 EOF